Trax Puzzles v1 4

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    50Graded

    TraxProblems

    with solutions

    Collected and annotated byMartin Mller Skarbiniks Pedersen

    Second editionSeptember 2011

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    Dear reader,

    I started collecting trax puzzles several years ago and now

    I am able to present this small book which contains the bestof these puzzles. You will find 50 puzzles on the followingpages where the goal for each puzzle is to find the winningmoves for one of the players.

    In appendix D you can find solutions to all the problemsAn explaination of the used notation can be found inappendix C.

    If you discover any errors please write to me [email protected] so these can be corrected in asecond edition.

    This book can be found at http://www.gnutrax.com/book/and you can print it free of charge.

    This work is not released into public domain.I am still the copyright holder and please read appendix Afor boring legal information.

    Thanks to and Jeff Berrier for letting me know aboutan error in one of the solutions.

    Thanks to Donald G. Bailey for letting me know about ahandfull of errors.

    Martin M. S. PedersenSeptember 2011

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    Problem: 001

    Black to play and win in 4 movesDifficulty: **

    Problem: 002

    Black to play and win in 3 movesDifficulty: **

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    Problem: 003

    White to play and win in 4 movesDifficulty: ***

    Problem: 004

    Black to play and win in 4 moves

    Difficulty: ***

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    Problem: 005

    White to play and win in 5 movesDifficulty: **

    Problem: 006

    Black to play and win in 5 movesDifficulty: ****

    There is a simple 6 stage win at the bottomstarting with D8\ but the goal is to find the anotherthreat which only uses 5 stages.

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    Problem: 007

    Black to play and win in 3 movesDifficulty: **

    Problem: 008

    Black to play and win in 5 movesDifficulty: ***

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    Problem: 009

    White to play and win in 4 moves

    Difficulty: ***

    Problem: 010

    Black to play and win in 4 movesDifficulty: ****

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    Problem: 011

    White to play and win in 2 movesDifficulty: *

    Problem: 012

    White to play and win in 5 movesDifficulty: ***

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    Problem: 013

    White to play and win in 4 movesDifficulty: ***

    Problem: 014

    White to play and win in 3 movesDifficulty: **

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    Problem: 015

    White to play and win in 4 movesDifficulty: ***

    Problem: 016

    Black to play and win in 5 movesDifficulty: **

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    Problem: 017

    White to play and win in 5 movesDifficulty: ***

    Problem: 018

    Black to play and win in 4 movesDifficulty: **

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    Problem: 019

    Black to play and win in 4 movesDifficulty: **

    Problem: 020

    Black to play and win in 4 movesDifficulty: **

    Problem: 021

    Black to play and win in 4 movesDifficulty: **

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    Problem: 022

    White to play and win in 2 movesDifficulty: ***

    Problem: 023

    Black to play and win in 3 movesDifficulty: **

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    Problem: 024

    White to play and win in 6 movesDifficulty: ***

    Problem: 025

    White to play and win in 4 movesDifficulty: ***

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    Problem: 026

    White to play and win in 7 movesDifficulty: ****

    Problem: 027

    Black to play and win in 3 movesDifficulty: ***8x8 Trax

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    Problem: 028

    Black to play and win in 4 movesDifficulty: **

    Problem: 029

    White to play and win in 5 movesDifficulty: ***

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    Problem: 030

    Black to play and win in 6 movesDifficulty: ***

    Problem: 031

    White to play and win in 6 movesDifficulty: ***

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    Problem: 032

    Black to play andwin in 5 moves

    Difficulty: ***

    Problem: 033

    White to play andwin in 3 moves

    Difficulty: ***

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    Problem: 034

    Black to play and win in 3 movesDifficulty: ***

    Problem: 035

    Black to play andwin in 6 moves

    Difficulty: ****

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    Problem: 036

    Black to play and win in 2 movesDifficulty: *

    Problem: 037

    Black to play and win in 4 movesDifficulty: ***

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    Problem: 038

    Black to play and win in 5 movesDifficulty: ***

    Problem: 039

    White to play and win in 3 moves

    Difficulty: **

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    Problem: 040

    Black to play and win in 4 movesDifficulty: ***

    Problem: 041

    Black to play and win in 3 movesDifficulty: **

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    Problem: 042

    Black to play and win in 4 movesDifficulty: **

    Problem: 043

    White to play and win in 6 movesDifficulty: ***

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    Problem: 044

    White to play and win in 4 movesDifficulty: ***

    Problem: 045

    White to play and win in 4 movesDifficulty: ***

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    Problem: 046

    Black to play and win in 3 moves

    Difficulty: **LoopTrax

    Problem: 047

    Black to play and win in 3 movesDifficulty: **

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    Problem: 048

    Black to play and win in 2 movesDifficulty: *

    Problem: 049

    Black to play and win in 3 movesDifficulty: **

    Problem: 050

    Black to play and win in 4 movesDifficulty: ***

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    Appendix ABoring Legal Stuff.

    This work is licensed under the Creative Commons Attribution-Share Alike 3.0 license. To view a copy of this license, visithttp://creativecommons.org/licenses/by-sa/3.0/ or send a letter to CreativeCommons, 171 Second Street, Suite 300, San Francisco, California, 94105,USA.

    You are free:

    to Share to copy, distribute and transmit the work to Remix to adapt the work

    Under the following conditions: Attribution You must attribute the work in the manner specified by the author or licensor

    (but not in any way that suggests that they endorse you or your use of the work). Share Alike If you alter, transform, or build upon this work, you may distribute the

    resulting work only under the same, similar or a compatible license.

    With the understanding that: Waiver Any of the above conditions can be waived if you get permission from the

    copyright holder. Other Rights In no way are any of the following rights affected by the license:

    Your fair dealing or fair use rights; The author's moral rights; Rights other persons may have either in the work itself or in how the work is used,

    such as publicity or privacy rights. Notice For any reuse or distribution, you must make clear to others the license terms of

    this work.

    Appendix A Boring Legal Stuff

    http://creativecommons.org/licenses/by-sa/3.0/#http://wiki.creativecommons.org/Frequently_Asked_Questions#I_don.E2.80.99t_like_the_way_a_person_has_used_my_work_in_a_derivative_work_or_included_it_in_a_collective_work.3B_what_can_I_do.3Fhttp://wiki.creativecommons.org/Frequently_Asked_Questions#When_are_publicity_rights_relevant.3Fhttp://wiki.creativecommons.org/Frequently_Asked_Questions#I_don.E2.80.99t_like_the_way_a_person_has_used_my_work_in_a_derivative_work_or_included_it_in_a_collective_work.3B_what_can_I_do.3Fhttp://wiki.creativecommons.org/Frequently_Asked_Questions#When_are_publicity_rights_relevant.3Fhttp://creativecommons.org/licenses/by-sa/3.0/#
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    Appendix BRules of Trax.

    1. TRAX is played with identical square tiles on which sections of blackand white track join adjacent edges on one side and opposite edges onthe other side.

    2. Two players determine by prior agreement who shall be representedby each coloured track.

    3. The game is won by the player whose track forms a loop or a line(a) during that player's completed turn or(b) during an opponent's completed turn in which the opponent's track

    does not also form a loop or a line.

    4. A loop is a continuous path of track that connects with itself.

    A white loop:

    5. A line is a continuous path of track that connects opposite andoutermost edges of the tiles in play, over at least 8 rows of tiles,across or down.

    A horizontal white line:

    Appendix B Rules

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    6. Commencing with the White player, each player at each turn placesa tile, either side up, on any flat surface.

    7. After the first turn, each tile must be placed edge to edge alongsideany tile or tiles already in play so as to always join sections of samecoloured track to each other. eg.

    giving

    8. Each player may join track of either or both colours in any turn.

    9. Forced play - If a tile played in any turn forms an adjacent space or

    spaces into which same coloured track enters from t